106197892561 has 2 divisors, whose sum is σ = 106197892562. Its totient is φ = 106197892560.

The previous prime is 106197892553. The next prime is 106197892607. The reversal of 106197892561 is 165298791601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69297403536 + 36900489025 = 263244^2 + 192095^2 .

It is a cyclic number.

It is not a de Polignac number, because 106197892561 - 2³ = 106197892553 is a prime.

It is a super-2 number, since 2×106197892561² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106197892511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53098946280 + 53098946281.

It is an arithmetic number, because the mean of its divisors is an integer number (53098946281).

Almost surely, 2^106197892561 is an apocalyptic number.

It is an amenable number.

106197892561 is a deficient number, since it is larger than the sum of its proper divisors (1).

106197892561 is an equidigital number, since it uses as much as digits as its factorization.

106197892561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1632960, while the sum is 55.

The spelling of 106197892561 in words is "one hundred six billion, one hundred ninety-seven million, eight hundred ninety-two thousand, five hundred sixty-one".